Question

The ratio of the distance of the school from A’s home to the distance of the school from B’s home is $2:1$

Find :

(a) If A lives at a distance of $4km$ then B will live at a distance.
(b) If B lives at a distance of $9km$ then A will live at a distance.
(c) If A lives at a distance of $8km$ then B will live at a distance.
(d) If B lives at a distance of $8km$ then A will live at a distance.
(e) If A lives at a distance of $6km$ then B will live at a distance.

Answer 1

Let A’s home is $2xkm$ from school and B’s home is $xkm$
Hence,
A’s home distance from school: B’s home distance from school $=2:1$
(A’s home distance from school) / (B’s home distance from school) $=\frac{2}{1}$
A’s home distance from school $=2\times$ B’s home distance from school
(a) So if A lives at a distance of $4km$ then B will live at a distance of $=\frac{1}{2}\times 4$
$=2km$
(b) So if B lives at a distance of $9km$ then A will live at a distance of $=2\times 9$
$=18km$
(c) So if A lives at a distance of $8km$ then B will live at a distance of $=\frac{1}{2}\times 8$
$=4km$
(d) So if B lives at a distance of $8km$ then A will live at a distance of $=2\times 8$
$=16km$
(e) So if A lives at a distance of $6km$ then B will live at a distance of $=\frac{1}{2}\times 6$
$=3km$